Metrics for sqrt D (should all be same)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample719.0ms (5.8%)

Memory

-10.9MiB live, 826.6MiB allocated

Samples

470.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 308.0ms

ival-pow2: 178.0ms (57.8% of total)

ival-sqrt: 60.0ms (19.5% of total)

ival-mult: 56.0ms (18.2% of total)

ival-true: 6.0ms (1.9% of total)

exact: 5.0ms (1.6% of total)

ival-assert: 4.0ms (1.3% of total)

Bogosity

explain96.0ms (0.8%)

Memory

-0.3MiB live, 117.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
135	-	3	(7.502041364649721e-162)	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
0	-	0	-	`(pow.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`	oflow-rescue	77	0
↳	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`	overflow	77
↳	`(pow.f64 x #s(literal 2 binary64))`	overflow	77
`sqrt.f64`	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`	uflow-rescue	55	0
↳	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`	underflow	55
↳	`(pow.f64 x #s(literal 2 binary64))`	underflow	55

Confusion

	Predicted +	Predicted -
+	132	3
-	0	121

Precision

1.0

Recall

0.9777777777777777

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	132	0	3
-	0	0	121

Precision?

1.0

Recall?

0.9777777777777777

Freqs

test

number	freq
0	124
1	132

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 58 to 24 computations (58.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-pow2: 7.0ms (47.6% of total)

ival-mult: 3.0ms (20.4% of total)

ival-sqrt: 3.0ms (20.4% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess14.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	15	13
2	34	13
3	123	13
4	246	13
5	270	13
6	280	13
0	5	6
0	8	6
1	10	6
2	14	6
3	16	6
0	16	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Outputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64)))

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.5%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
cost-diff	6144	(pow.f64 x #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	8	16
1	10	16
2	14	16
3	16	16
0	16	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
x

Outputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (.f64 x x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
x

localize55.0ms (0.4%)

Memory

-27.5MiB live, 22.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 x #s(literal 2 binary64))
accuracy	0.0078125	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
accuracy	31.02478614614777	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Samples

49.0ms

256×

valid

Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-pow2: 3.0ms (45.5% of total)

ival-mult: 2.0ms (30.3% of total)

ival-sqrt: 2.0ms (30.3% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

3 → 4

Calls

Call 1

Inputs
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))

Outputs
(pow x 2)
(* x (sqrt 2))
(* 2 (pow x 2))
(* -1 (* x (sqrt 2)))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((pow x 2) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)))
1.0ms	x	@	0	((pow x 2) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)))
1.0ms	x	@	-inf	((pow x 2) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)))

simplify4.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	15	17
2	32	17
3	38	17
4	42	17
5	54	17
6	66	17
7	77	17
8	97	17
9	102	17
0	102	17

Stop Event

1×	iter limit
1×	saturated

Counts

4 → 4

Calls

Call 1

Inputs
(pow x 2)
(* x (sqrt 2))
(* 2 (pow x 2))
(* -1 (* x (sqrt 2)))

Outputs
(pow x 2)
(*.f64 x x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))

rewrite88.0ms (0.7%)

Memory

22.0MiB live, 91.8MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	22	12
2	57	12
3	186	12
4	765	4
5	6179	4
0	9030	4

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

3 → 46

Calls

Call 1

Inputs
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))

Outputs
x
#s(literal 1 binary64)
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) x) (pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) x))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)) x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) x))
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) x) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)) x))
(*.f64 (pow.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (E.f64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (pow.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -2 binary64)))
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 #s(literal 4 binary64)))
(pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) #s(literal 8 binary64))
(pow.f64 (sqrt.f64 (E.f64)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 (log.f64 #s(literal 2 binary64)) x))
(pow.f64 (sqrt.f64 (E.f64)) (log.f64 #s(literal 2 binary64)))
(pow.f64 (E.f64) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 (pow.f64 (sqrt.f64 (E.f64)) (/.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/2 binary64)))) (pow.f64 (sqrt.f64 (E.f64)) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (E.f64)) (/.f64 #s(literal 0 binary64) (log.f64 #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (+.f64 (fma.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64) (.f64 #s(literal 1/8 binary64) (log.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (+.f64 (fma.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64)) (fma.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (log.f64 #s(literal 2 binary64))))))
(exp.f64 (fma.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64)) (fma.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/8 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
#s(literal 2 binary64)

eval9.0ms (0.1%)

Memory: -21.6MiB live, 16.6MiB allocated
Compiler: Compiled 405 to 127 computations (68.6% saved)

prune3.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	4	51

Accuracy

99.6%

Counts

51 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	51.5%	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
▶	5.1%	(sqrt.f64 #s(literal 2 binary64))
▶	51.1%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 28 to 25 computations (10.7% saved)

simplify6.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (pow x 2) (*.f64 x x))
cost-diff	0	(.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))
cost-diff	0	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	65
0	21	65
1	31	65
2	44	65
3	56	65
4	62	65
5	73	65
6	98	65
7	107	65
8	113	65
9	113	65
0	113	65

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 x)
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
(.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))
#s(literal 2 binary64)
#s(approx (pow x 2) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x

Outputs
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(neg.f64 x)
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
(sqrt.f64 (.f64 #s(approx (pow x 2) (.f64 x x)) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))
(.f64 #s(approx (pow x 2) (.f64 x x)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (pow x 2) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x

localize80.0ms (0.6%)

Memory

-28.9MiB live, 60.9MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.40625	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy	0	(*.f64 x x)
accuracy	0	#s(approx (pow x 2) (*.f64 x x))
accuracy	0.0078125	(.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))
accuracy	31.02478614614777	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0	(neg.f64 x)
accuracy	0.40625	(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
accuracy	31.08411192764789	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Samples

72.0ms

256×

valid

Compiler

Compiled 114 to 27 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 29.0ms (78.2% of total)

ival-sqrt: 3.0ms (8.1% of total)

ival-pow2: 3.0ms (8.1% of total)

ival-neg: 1.0ms (2.7% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

9 → 5

Calls

Call 1

Inputs
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 x)
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
(.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))
#s(approx (pow x 2) (*.f64 x x))
(*.f64 x x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Outputs
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 x)
(* 2 (pow x 2))
(pow x 2)

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((sqrt (* 2 (pow x 2))) (* (neg x) (sqrt 2)) (neg x) (sqrt 2) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2) (* x x) (* (sqrt 2) x))
1.0ms	x	@	-inf	((sqrt (* 2 (pow x 2))) (* (neg x) (sqrt 2)) (neg x) (sqrt 2) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2) (* x x) (* (sqrt 2) x))
1.0ms	x	@	0	((sqrt (* 2 (pow x 2))) (* (neg x) (sqrt 2)) (neg x) (sqrt 2) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2) (* x x) (* (sqrt 2) x))

Time

Variable

Point

Expression

1.0ms

inf

((sqrt (* 2 (pow x 2))) (* (neg x) (sqrt 2)) (neg x) (sqrt 2) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2) (* x x) (* (sqrt 2) x))

1.0ms

-inf

((sqrt (* 2 (pow x 2))) (* (neg x) (sqrt 2)) (neg x) (sqrt 2) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2) (* x x) (* (sqrt 2) x))

1.0ms

((sqrt (* 2 (pow x 2))) (* (neg x) (sqrt 2)) (neg x) (sqrt 2) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2) (* x x) (* (sqrt 2) x))

simplify4.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	17	19
2	33	19
3	38	19
4	46	19
5	57	19
6	68	19
7	90	19
8	101	19
9	101	19
0	101	19

Stop Event

1×	iter limit
1×	saturated

Counts

5 → 5

Calls

Call 1

Inputs
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 x)
(* 2 (pow x 2))
(pow x 2)

Outputs
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 x)
(neg.f64 x)
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)

rewrite115.0ms (0.9%)

Memory

-6.7MiB live, 149.1MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	54
0	21	55
1	46	53
2	112	53
3	469	53
4	3782	49
0	8399	49

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

9 → 835

Calls

Call 1

Inputs
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 x)
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
(.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))
#s(approx (pow x 2) (*.f64 x x))
(*.f64 x x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Outputs
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x #s(literal 2 binary64))))) (sqrt.f64 x))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))) (sqrt.f64 x))
(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (.f64 x x))
(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)) (.f64 x x)) x)
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (*.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 x x))
(.f64 (sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(.f64 (neg.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (sqrt.f64 x))
(.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(.f64 (.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)))
(.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)))
(.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64)))
(.f64 (neg.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -2 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 x (.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x)
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x #s(literal 2 binary64))))))
(.f64 (sqrt.f64 x) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64))
(.f64 (.f64 x x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 x x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (exp.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x x) (.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (/.f64 x (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (neg.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(/.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) x) x)
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x))
(/.f64 (.f64 (.f64 x x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) x)
(/.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) (.f64 x x))
(/.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 x x)) x)
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)))) (.f64 (*.f64 x #s(literal 2 binary64)) x))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)) x)
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x))
(/.f64 (neg.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64))) (.f64 (*.f64 x #s(literal 2 binary64)) x))
(/.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) (.f64 (*.f64 x #s(literal 2 binary64)) x))
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (*.f64 x #s(literal 2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (neg.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(fma.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 x #s(literal 2 binary64))))) (sqrt.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 x #s(literal 2 binary64))))) (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 x #s(literal 2 binary64))))) (sqrt.f64 x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/4 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))) (sqrt.f64 x) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))) (sqrt.f64 x) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 x) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (.f64 x x) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)) (.f64 x x)) x (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)) (.f64 x x)) x (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)) (*.f64 x x)) x #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (.f64 x x) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
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(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x)) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #s(literal 0 binary64))
(fma.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 x) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 x #s(literal 2 binary64))))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 x) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 x) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 x x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 x x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 x x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 0 binary64))
(fma.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 x #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(+.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(+.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 0 binary64))

eval71.0ms (0.6%)

Memory: 27.5MiB live, 144.6MiB allocated
Compiler: Compiled 10 072 to 1 621 computations (83.9% saved)

prune42.0ms (0.3%)

Memory

5.0MiB live, 42.4MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	568	10	578
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	568	14	582

Accuracy

100.0%

Counts

582 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.2%	(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x)
✓	50.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
	50.5%	(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))))
✓	51.5%	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
✓	5.1%	(sqrt.f64 #s(literal 2 binary64))
▶	26.4%	#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)))
	25.8%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
	50.4%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))))
	50.4%	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))))
▶	51.0%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
▶	51.1%	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
▶	49.4%	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
	51.0%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))))
✓	51.1%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 324 to 255 computations (21.3% saved)

simplify46.0ms (0.4%)

Memory

-26.1MiB live, 13.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
cost-diff	0	(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x)
cost-diff	6464	(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
cost-diff	0	(pow.f64 x #s(literal -1 binary64))
cost-diff	0	(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	7040	(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 4 binary64))
cost-diff	0	(pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64))
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)))
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
cost-diff	0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
cost-diff	0	(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
cost-diff	6784	(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	178
0	49	178
1	76	160
2	127	145
3	187	145
4	238	145
5	294	145
6	393	145
7	467	145
8	478	145
9	523	145
10	545	145
0	545	145

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
x
(neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(sqrt.f64 x)
#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)))
(pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64))
(.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x))
(.f64 (.f64 x x) #s(literal 4 binary64))
(*.f64 x x)
x
#s(literal 4 binary64)
#s(literal 1/4 binary64)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
#s(literal -1 binary64)
(pow.f64 x #s(literal -1 binary64))
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x)
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
#s(literal 2 binary64)
x

Outputs
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (neg.f64 x)))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (neg.f64 x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
x
(neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(sqrt.f64 x)
#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))
(.f64 (.f64 x x) #s(literal 4 binary64))
(*.f64 x x)
x
#s(literal 4 binary64)
#s(literal 1/4 binary64)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
(neg.f64 x)
#s(literal -1 binary64)
(pow.f64 x #s(literal -1 binary64))
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
#s(literal 2 binary64)
x

localize90.0ms (0.7%)

Memory

11.9MiB live, 135.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
accuracy	0.16796875	(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x)
accuracy	0.49609375	(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.0703125	(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
accuracy	0.16796875	(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
accuracy	31.08411192764789	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0	#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)))
accuracy	0.010097509768442016	(.f64 (.f64 x x) #s(literal 4 binary64))
accuracy	0.03125	(.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x))
accuracy	25.279320482780534	(pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64))
accuracy	0	(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	0	(sqrt.f64 x)
accuracy	0	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
accuracy	0.16015625	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
accuracy	0	(neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
accuracy	0.10546875	(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
accuracy	0.20703125	(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
accuracy	31.08411192764789	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))

Samples

38.0ms	129×	0	invalid
29.0ms	127×	0	valid

Compiler

Compiled 318 to 61 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 15.0ms (29.4% of total)

ival-pow: 15.0ms (29.4% of total)

ival-sqrt: 11.0ms (21.6% of total)

ival-pow2: 6.0ms (11.8% of total)

ival-div: 2.0ms (3.9% of total)

exact: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series67.0ms (0.5%)

Memory

-10.9MiB live, 105.9MiB allocated

Counts

22 → 16

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)))
(pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64))
(.f64 (.f64 x x) #s(literal 4 binary64))
(*.f64 x x)
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x)
(neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(sqrt.f64 x)
(.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x))
(sqrt.f64 #s(literal 2 binary64))

Outputs
(* -1 (* (pow 4 1/4) x))
(* x (sqrt 2))
(* (pow 4 1/8) x)
(* (sqrt x) (sqrt 2))
(* 2 x)
(* (pow 4 1/4) x)
(* 4 (pow x 2))
(pow x 2)
(* -1 x)
(* -1 (* x (sqrt 2)))
(/ 1 x)
(sqrt x)
(* 4 (pow x 4))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Calls

3 calls:

Time

Variable

Point

Expression

42.0ms

((* (* (pow 4 1/8) x) (neg (pow 4 1/8))) (sqrt (* 2 (pow x 2))) (* (pow 4 1/8) x) (pow 4 1/8) (sqrt (* 2 (pow x 2))) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt (* 2 (pow x 2))) (pow (* (* (* x x) 4) (* x x)) 1/4) (* (* x x) 4) (* x x) (/ -1 (pow x -1)) (sqrt (* 2 (pow x 2))) (* (/ -1 (pow x -1)) (sqrt 2)) (pow x -1) (pow (pow 4 1/8) 2) (* (pow (pow 4 1/8) 2) x) (neg (pow 4 1/8)) (sqrt x) (* (* (* x x) 4) (* x x)) (sqrt 2))

16.0ms

-inf

((* (* (pow 4 1/8) x) (neg (pow 4 1/8))) (sqrt (* 2 (pow x 2))) (* (pow 4 1/8) x) (pow 4 1/8) (sqrt (* 2 (pow x 2))) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt (* 2 (pow x 2))) (pow (* (* (* x x) 4) (* x x)) 1/4) (* (* x x) 4) (* x x) (/ -1 (pow x -1)) (sqrt (* 2 (pow x 2))) (* (/ -1 (pow x -1)) (sqrt 2)) (pow x -1) (pow (pow 4 1/8) 2) (* (pow (pow 4 1/8) 2) x) (neg (pow 4 1/8)) (sqrt x) (* (* (* x x) 4) (* x x)) (sqrt 2))

9.0ms

inf

((* (* (pow 4 1/8) x) (neg (pow 4 1/8))) (sqrt (* 2 (pow x 2))) (* (pow 4 1/8) x) (pow 4 1/8) (sqrt (* 2 (pow x 2))) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt (* 2 (pow x 2))) (pow (* (* (* x x) 4) (* x x)) 1/4) (* (* x x) 4) (* x x) (/ -1 (pow x -1)) (sqrt (* 2 (pow x 2))) (* (/ -1 (pow x -1)) (sqrt 2)) (pow x -1) (pow (pow 4 1/8) 2) (* (pow (pow 4 1/8) 2) x) (neg (pow 4 1/8)) (sqrt x) (* (* (* x x) 4) (* x x)) (sqrt 2))

simplify232.0ms (1.9%)

Memory

27.7MiB live, 64.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	72
1	73	72
2	165	72
3	293	72
4	542	72
5	876	72
6	1489	72
7	1638	72
8	1690	72
9	1744	72
10	2015	72
11	2289	72
12	2357	72
13	2384	72
14	2392	72
15	2394	72
16	2394	72
17	2394	72
18	2571	72
19	2923	72
20	4166	72
21	4483	72
22	4713	72
23	4820	72
24	4826	72
25	4826	72
26	4826	72
27	4902	72
28	4934	72
29	4934	72
30	5234	72
31	6720	72
32	6776	72
33	6776	72
0	6776	72

Stop Event

1×	iter limit
1×	saturated

Counts

16 → 16

Calls

Call 1

Inputs
(* -1 (* (pow 4 1/4) x))
(* x (sqrt 2))
(* (pow 4 1/8) x)
(* (sqrt x) (sqrt 2))
(* 2 x)
(* (pow 4 1/4) x)
(* 4 (pow x 2))
(pow x 2)
(* -1 x)
(* -1 (* x (sqrt 2)))
(/ 1 x)
(sqrt x)
(* 4 (pow x 4))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Outputs
(* -1 (* (pow 4 1/4) x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (neg.f64 x))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(sqrt x)
(sqrt.f64 x)
(* 4 (pow x 4))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (neg.f64 x))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

rewrite166.0ms (1.3%)

Memory

7.9MiB live, 196.6MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	160
0	49	168
1	129	121
2	403	108
3	2198	98
0	8510	98

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

22 → 1 839

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)))
(pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64))
(.f64 (.f64 x x) #s(literal 4 binary64))
(*.f64 x x)
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x)
(neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(sqrt.f64 x)
(.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x))
(sqrt.f64 #s(literal 2 binary64))

Outputs
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))))) (exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)) #s(literal -1 binary64)) x)
(.f64 (pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) x) #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))))
(.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (sqrt.f64 x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64))) #s(literal 1 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 3/16 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 3/16 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (.f64 x (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (sqrt.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) x)
(.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 3 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (*.f64 x #s(literal 4 binary64)))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 x)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64)))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 x)))
(.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 4 binary64) (log.f64 x))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
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(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))))
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(literal 16 binary64))) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 #s(literal 4 binary64)))) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 (exp.f64 #s(literal 1/8 binary64)) (exp.f64 #s(literal 1/8 binary64))) (log.f64 #s(literal 4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/16 binary64)) (log.f64 #s(literal 16 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal 4 binary64))) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (log.f64 #s(literal 4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 #s(literal 4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (log.f64 #s(literal 16 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64))
(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) #s(literal 8 binary64))
(pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 #s(literal 256 binary64) #s(literal 3/16 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))) (neg.f64 (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 #s(literal 256 binary64) #s(literal 3/16 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))))
(/.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 7/32 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 7/32 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 7/32 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 7/32 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 0 binary64))
(sqrt.f64 #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 256 binary64)) #s(literal 1/16 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))

eval207.0ms (1.7%)

Memory: -21.2MiB live, 220.2MiB allocated
Compiler: Compiled 21 336 to 3 961 computations (81.4% saved)

prune42.0ms (0.3%)

Memory

-3.5MiB live, 73.8MiB allocated

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	1 109	7	1 116
Fresh	3	2	5
Picked	4	1	5
Done	0	4	4
Total	1 116	14	1 130

Accuracy

100.0%

Counts

1 130 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.2%	(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
✓	50.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	51.5%	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
✓	5.1%	(sqrt.f64 #s(literal 2 binary64))
▶	27.9%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
	51.0%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 (.f64 x (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))))
	49.4%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal -1/2 binary64))))
	50.4%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))))
▶	51.1%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64))))
	51.0%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
▶	51.1%	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
✓	49.4%	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
▶	51.0%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))))
✓	51.1%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 310 to 256 computations (17.4% saved)

simplify97.0ms (0.8%)

Memory

13.8MiB live, 134.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))))
cost-diff	6464	(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64))))
cost-diff	6848	(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64)))
cost-diff	0	(.f64 (.f64 x x) #s(literal 2 binary64))
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
cost-diff	192	(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 2 binary64)))
cost-diff	640	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
cost-diff	0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
cost-diff	0	(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
cost-diff	0	(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	186
0	51	183
1	90	174
2	201	162
3	494	162
4	1099	162
5	2611	162
6	4165	162
7	6928	162
0	8002	162

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
x
(neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
x
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 2 binary64)))
#s(literal 0 binary64)
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64)))
(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(neg.f64 x)
x
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
#s(literal 2 binary64)

Outputs
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (neg.f64 x)))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (neg.f64 x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
x
(neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
x
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 x x))
#s(literal 0 binary64)
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (neg.f64 x)))
(*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (neg.f64 x))
(neg.f64 x)
x
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
#s(literal 2 binary64)

localize95.0ms (0.8%)

Memory

10.8MiB live, 172.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0.40625	(*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
accuracy	1.0	(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
accuracy	31.08411192764789	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0	(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.42873002930532605	(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64)))
accuracy	31.08411192764789	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64))))
accuracy	0.0078125	(.f64 (.f64 x x) #s(literal 2 binary64))
accuracy	0.40625	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy	31.08411192764789	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
accuracy	31.254485641441423	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.40625	(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
accuracy	1.0	(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0	(neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.234375	(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
accuracy	0.34375	(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
accuracy	31.08411192764789	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))

Samples

72.0ms

256×

valid

Compiler

Compiled 333 to 63 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 12.0ms (24.4% of total)

ival-sqrt: 11.0ms (22.4% of total)

ival-pow: 8.0ms (16.3% of total)

ival-neg: 6.0ms (12.2% of total)

ival-div: 5.0ms (10.2% of total)

ival-pow2: 5.0ms (10.2% of total)

ival-sub: 1.0ms (2% of total)

exact: 1.0ms (2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series46.0ms (0.4%)

Memory

13.8MiB live, 49.6MiB allocated

Counts

20 → 10

Calls

Call 1

Inputs
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 2 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(.f64 (.f64 x x) #s(literal 2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(neg.f64 x)
(neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Outputs
(* x (sqrt 2))
(* -1 (* (pow 4 1/8) (* x (sqrt (sqrt 2)))))
(* (pow 4 1/8) x)
(* 2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (pow x 2))
(* 2 (pow x 2))
(* -1 (* x (sqrt 2)))
(* -1 (* (pow 4 1/4) x))
(* -1 x)

Calls

3 calls:

Time

Variable

Point

Expression

27.0ms

((sqrt (* 2 (pow x 2))) (* (* (pow 4 1/8) x) (neg (sqrt (sqrt 2)))) (* (pow 4 1/8) x) (pow 4 1/8) (* (/ 2 (sqrt 2)) x) (/ 2 (sqrt 2)) (sqrt 2) (/ (- 0 (* (* x x) 2)) (* (sqrt 2) x)) (- 0 (* (* x x) 2)) (sqrt (* 2 (pow x 2))) (* (* x x) 2) (/ (neg (sqrt 2)) (pow x -1)) (sqrt (* 2 (pow x 2))) (neg (sqrt 2)) (pow (pow 4 1/8) 2) (sqrt (* 2 (pow x 2))) (* (neg x) (pow (pow 4 1/8) 2)) (neg x) (neg (sqrt (sqrt 2))) (* (sqrt 2) x))

10.0ms

inf

((sqrt (* 2 (pow x 2))) (* (* (pow 4 1/8) x) (neg (sqrt (sqrt 2)))) (* (pow 4 1/8) x) (pow 4 1/8) (* (/ 2 (sqrt 2)) x) (/ 2 (sqrt 2)) (sqrt 2) (/ (- 0 (* (* x x) 2)) (* (sqrt 2) x)) (- 0 (* (* x x) 2)) (sqrt (* 2 (pow x 2))) (* (* x x) 2) (/ (neg (sqrt 2)) (pow x -1)) (sqrt (* 2 (pow x 2))) (neg (sqrt 2)) (pow (pow 4 1/8) 2) (sqrt (* 2 (pow x 2))) (* (neg x) (pow (pow 4 1/8) 2)) (neg x) (neg (sqrt (sqrt 2))) (* (sqrt 2) x))

9.0ms

-inf

((sqrt (* 2 (pow x 2))) (* (* (pow 4 1/8) x) (neg (sqrt (sqrt 2)))) (* (pow 4 1/8) x) (pow 4 1/8) (* (/ 2 (sqrt 2)) x) (/ 2 (sqrt 2)) (sqrt 2) (/ (- 0 (* (* x x) 2)) (* (sqrt 2) x)) (- 0 (* (* x x) 2)) (sqrt (* 2 (pow x 2))) (* (* x x) 2) (/ (neg (sqrt 2)) (pow x -1)) (sqrt (* 2 (pow x 2))) (neg (sqrt 2)) (pow (pow 4 1/8) 2) (sqrt (* 2 (pow x 2))) (* (neg x) (pow (pow 4 1/8) 2)) (neg x) (neg (sqrt (sqrt 2))) (* (sqrt 2) x))

simplify29.0ms (0.2%)

Memory

-28.7MiB live, 9.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	54
1	54	54
2	113	54
3	169	54
4	204	54
5	247	54
6	285	54
7	361	54
8	411	54
9	414	54
0	414	54

Stop Event

1×	iter limit
1×	saturated

Counts

10 → 10

Calls

Call 1

Inputs
(* x (sqrt 2))
(* -1 (* (pow 4 1/8) (* x (sqrt (sqrt 2)))))
(* (pow 4 1/8) x)
(* 2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (pow x 2))
(* 2 (pow x 2))
(* -1 (* x (sqrt 2)))
(* -1 (* (pow 4 1/4) x))
(* -1 x)

Outputs
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* (pow 4 1/8) (* x (sqrt (sqrt 2)))))
(.f64 (.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* -2 (/ x (sqrt 2)))
(*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (pow 4 1/4) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* -1 x)
(neg.f64 x)

rewrite316.0ms (2.5%)

Memory

16.3MiB live, 306.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	152
0	51	154
1	159	145
2	769	101
0	9009	101

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

20 → 4 409

Calls

Call 1

Inputs
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 2 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(.f64 (.f64 x x) #s(literal 2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(neg.f64 x)
(neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Outputs
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))
(.f64 (/.f64 (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -2 binary64) (.f64 x x)))
(.f64 (/.f64 (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (neg.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))
(.f64 (/.f64 (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 6 binary64))) (pow.f64 (.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(.f64 (/.f64 (.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (.f64 (neg.f64 x) x)) x)
(.f64 (/.f64 (.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (neg.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) (*.f64 x x)))
(.f64 (.f64 (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
(.f64 (.f64 (*.f64 (neg.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
(.f64 (.f64 (neg.f64 x) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
(.f64 (.f64 (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
(.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 x))) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))) (.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))
(.f64 (.f64 (neg.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) (*.f64 (neg.f64 x) x)) #s(literal 2 binary64))
(.f64 (.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))))
(.f64 (.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) #s(literal -2 binary64)) (*.f64 x x))
(.f64 (.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) (neg.f64 x)) (*.f64 x #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) (.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) (*.f64 x x)) #s(literal -2 binary64))
(.f64 (.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) x) (*.f64 #s(literal -2 binary64) x))
(.f64 (.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))
(.f64 (.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (neg.f64 (.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) x))
(.f64 (neg.f64 (/.f64 #s(literal 2 binary64) x)) (.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (neg.f64 (.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) x))
(.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x))
(.f64 (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) x))
(.f64 (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) (*.f64 x x)))
(.f64 (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) (.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) #s(literal 4 binary64)))
(.f64 (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 x x)) (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) (.f64 (*.f64 x x) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 4 binary64)) (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) (*.f64 x x)) (sqrt.f64 x)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (sqrt.f64 x)))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) (*.f64 x x)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x))
(.f64 (/.f64 (.f64 (neg.f64 x) x) (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))))
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(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(.f64 (neg.f64 x) (/.f64 (.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 x x) (neg.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(.f64 (.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x))
(.f64 (.f64 x x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (exp.f64 (log.f64 (.f64 (.f64 x x) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (.f64 x (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (.f64 #s(literal -1 binary64) (sqrt.f64 x))) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (.f64 x #s(literal 2 binary64))) x)
(/.f64 (.f64 (.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) x)
(/.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)) x)
(/.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))
(/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))) (.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))
(/.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(/.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x)) (.f64 (.f64 x x) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(/.f64 (.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal -1 binary64))) (.f64 (.f64 (*.f64 x x) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) x))
(/.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 x #s(literal -1 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal -2 binary64) (*.f64 x x)) x))
(/.f64 (.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))) x))
(/.f64 (.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal -1 binary64))) (.f64 (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (sqrt.f64 x) (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (.f64 (sqrt.f64 x) #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -1 binary64))) (.f64 (.f64 #s(literal -2 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 5/2 binary64)))
(/.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (.f64 (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) (.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (.f64 #s(literal -2 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (.f64 #s(literal -2 binary64) (.f64 x x)))
(/.f64 (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 #s(literal -2 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) (.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))
(/.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (.f64 x (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) x)
(/.f64 (sqrt.f64 x) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (.f64 (.f64 (neg.f64 x) x) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x))
(/.f64 (.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(/.f64 (.f64 (neg.f64 x) x) (.f64 x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 #s(literal -2 binary64) (*.f64 x x))))
(/.f64 (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 x x) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(/.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (.f64 (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 5/2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x))
(/.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(/.f64 (*.f64 x x) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 x (*.f64 x (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x)))
(/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (-.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (log.f64 x))))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))

eval291.0ms (2.3%)

Memory: 20.3MiB live, 397.2MiB allocated
Compiler: Compiled 39 812 to 5 523 computations (86.1% saved)

prune39.0ms (0.3%)

Memory

-3.8MiB live, 110.7MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	1 809	4	1 813
Fresh	4	0	4
Picked	5	0	5
Done	0	5	5
Total	1 818	9	1 827

Accuracy

100.0%

Counts

1 827 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.3%	(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
	50.3%	(/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
✓	50.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	51.5%	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
✓	5.1%	(sqrt.f64 #s(literal 2 binary64))
	51.1%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
	51.1%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x)))
✓	49.4%	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
✓	51.1%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 406 to 169 computations (58.4% saved)

regimes37.0ms (0.3%)

Memory

-19.1MiB live, 43.6MiB allocated

Counts

26 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal -1/2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 (.f64 x (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))))

Outputs

#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))

#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal -1/2 binary64))))

Calls

4 calls:

14.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
8.0ms	x
7.0ms	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
7.0ms	(pow.f64 x #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
99.5%	2	`x`
76.1%	3	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
76.1%	3	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
76.1%	3	`(pow.f64 x #s(literal 2 binary64))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes8.0ms (0.1%)

Memory

-21.5MiB live, 16.5MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))

Outputs

#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))

#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))

Outputs
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))

Outputs
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes6.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Outputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Calls

4 calls:

2.0ms	x
2.0ms	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
1.0ms	(pow.f64 x #s(literal 2 binary64))
1.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
50.5%	1	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
50.5%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
50.5%	1	`(pow.f64 x #s(literal 2 binary64))`
52.3%	2	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes8.0ms (0.1%)

Memory

-25.1MiB live, 12.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 2 binary64))

Outputs
(sqrt.f64 #s(literal 2 binary64))

Calls

4 calls:

4.0ms	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
1.0ms	x
1.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
1.0ms	(pow.f64 x #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
5.1%	1	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
5.1%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
5.1%	1	`(pow.f64 x #s(literal 2 binary64))`
5.1%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch12.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-5.575375002747343e-307	1.943919432896617e-306

Samples

6.0ms

128×

valid

Compiler

Compiled 233 to 209 computations (10.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 1.0ms (31.2% of total)

ival-sqrt: 1.0ms (31.2% of total)

ival-pow2: 1.0ms (31.2% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5.575375002747343e-307	1.943919432896617e-306

Compiler

Compiled 225 to 201 computations (10.7% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5.575375002747343e-307	1.943919432896617e-306

Compiler

Compiled 145 to 145 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5.575375002747343e-307	1.943919432896617e-306

Compiler

Compiled 137 to 137 computations (0% saved)

bsearch18.0ms (0.1%)

Memory

-11.6MiB live, 23.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-6.700312468302897e-202	-1.2647878589445914e-220

Samples

10.0ms

160×

valid

Compiler

Compiled 69 to 99 computations (-43.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-pow2: 2.0ms (49.3% of total)

ival-mult: 1.0ms (24.6% of total)

ival-sqrt: 1.0ms (24.6% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify29.0ms (0.2%)

Memory

4.7MiB live, 44.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	116
1	45	116
2	52	116
3	57	116
4	60	116
5	61	116

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (sqrt ( 2 (pow x 2))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (sqrt ( 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(if (<=.f64 x #s(literal -7410212627650363/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 #s(literal 2 binary64))

Outputs
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (sqrt ( 2 (pow x 2))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (sqrt ( 2 (pow x 2))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (sqrt ( 2 (pow x 2))) (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (/.f64 (.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(if (<=.f64 x #s(literal -7410212627650363/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 #s(literal 2 binary64))

soundness9.1s (73.5%)

Memory

7.5MiB live, 564.7MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	152
0	51	154
1	159	145
2	769	101
0	9009	101
0	14	54
0	21	55
1	46	53
2	112	53
3	469	53
4	3782	49
0	8399	49
0	5	14
0	8	14
1	22	12
2	57	12
3	186	12
4	765	4
5	6179	4
0	9030	4
0	8	17
1	15	17
2	32	17
3	38	17
4	42	17
5	54	17
6	66	17
7	77	17
8	97	17
9	102	17
0	102	17
0	31	160
0	49	168
1	129	121
2	403	108
3	2198	98
0	8510	98

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 308 to 194 computations (37% saved)

preprocess80.0ms (0.6%)

Memory: 3.8MiB live, 89.7MiB allocated
Compiler: Compiled 244 to 76 computations (68.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	15
1	15	13
2	34	13
3	123	13
4	246	13
5	270	13
6	280	13
0	5	6
0	8	6
1	10	6
2	14	6
3	16	6
0	16	6

Iter	Nodes	Cost
0	14	65
0	21	65
1	31	65
2	44	65
3	56	65
4	62	65
5	73	65
6	98	65
7	107	65
8	113	65
9	113	65
0	113	65

Iter	Nodes	Cost
0	31	178
0	49	178
1	76	160
2	127	145
3	187	145
4	238	145
5	294	145
6	393	145
7	467	145
8	478	145
9	523	145
10	545	145
0	545	145

Iter	Nodes	Cost
0	26	54
1	54	54
2	113	54
3	169	54
4	204	54
5	247	54
6	285	54
7	361	54
8	411	54
9	414	54
0	414	54

Iter	Nodes	Cost
0	7	15
1	15	13
2	34	13
3	123	13
4	246	13
5	270	13
6	280	13
0	5	6
0	8	6
1	10	6
2	14	6
3	16	6
0	16	6

Iter	Nodes	Cost
0	14	65
0	21	65
1	31	65
2	44	65
3	56	65
4	62	65
5	73	65
6	98	65
7	107	65
8	113	65
9	113	65
0	113	65

Iter	Nodes	Cost
0	31	178
0	49	178
1	76	160
2	127	145
3	187	145
4	238	145
5	294	145
6	393	145
7	467	145
8	478	145
9	523	145
10	545	145
0	545	145

Iter	Nodes	Cost
0	26	54
1	54	54
2	113	54
3	169	54
4	204	54
5	247	54
6	285	54
7	361	54
8	411	54
9	414	54
0	414	54

start0.0ms (0%)

analyze0.0ms (0%)

sample719.0ms (5.8%)

explain96.0ms (0.8%)

preprocess14.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize55.0ms (0.4%)

series3.0ms (0%)

simplify4.0ms (0%)

rewrite88.0ms (0.7%)

eval9.0ms (0.1%)

prune3.0ms (0%)

simplify6.0ms (0%)

localize80.0ms (0.6%)

series3.0ms (0%)

simplify4.0ms (0%)

rewrite115.0ms (0.9%)

eval71.0ms (0.6%)

prune42.0ms (0.3%)

simplify46.0ms (0.4%)

localize90.0ms (0.7%)

series67.0ms (0.5%)

simplify232.0ms (1.9%)

rewrite166.0ms (1.3%)

eval207.0ms (1.7%)

prune42.0ms (0.3%)

simplify97.0ms (0.8%)

localize95.0ms (0.8%)

series46.0ms (0.4%)

simplify29.0ms (0.2%)

rewrite316.0ms (2.5%)

eval291.0ms (2.3%)

prune39.0ms (0.3%)

regimes37.0ms (0.3%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch12.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch18.0ms (0.1%)

simplify29.0ms (0.2%)

soundness9.1s (73.5%)

preprocess80.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	15
1	15	13
2	34	13
3	123	13
4	246	13
5	270	13
6	280	13
0	5	6
0	8	6
1	10	6
2	14	6
3	16	6
0	16	6

Iter	Nodes	Cost
0	14	65
0	21	65
1	31	65
2	44	65
3	56	65
4	62	65
5	73	65
6	98	65
7	107	65
8	113	65
9	113	65
0	113	65

Iter	Nodes	Cost
0	31	178
0	49	178
1	76	160
2	127	145
3	187	145
4	238	145
5	294	145
6	393	145
7	467	145
8	478	145
9	523	145
10	545	145
0	545	145

Iter	Nodes	Cost
0	26	54
1	54	54
2	113	54
3	169	54
4	204	54
5	247	54
6	285	54
7	361	54
8	411	54
9	414	54
0	414	54